Abstract
We introduce a novel intrinsic volume concept in tropical geometry. This is achieved by developing the foundations of a tropical analog of lattice point counting in polytopes. We exhibit the basic properties and compare it to existing measures. Our exposition is complemented by a brief study of arising complexity questions.
Details
Title
Tropical Ehrhart Theory and Tropical Volume
Author(s)
Loho, Georg Peter ; Schymura, Matthias
Published in
ArXiv
Date
2019-08-22
Other identifier(s)
View record in ArXiv
Laboratories
DISOPT
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > DISOPT - Chair of Discrete Optimization
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Submitted
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Submitted
Grant
FNS: 163071
FNS: 185030
FNS: 185030
Record creation date
2019-08-22